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In this pa per, we ap ply the mod i fied variational it er a tion method to a gen er al ized Hirota-Sat suma cou pled Korteweg-de Vries (KdV) equation. The nu mer i cal so lutions of the ini tial value prob lem of the gen er al ized Hirota-Sat suma cou pled KdV equa tion are pro vided. Nu mer i cal re sults are given to show the ef fi ciency of the mod i fied variational it er a tion method.doi:10.2298/tsci1603885l fatcat:3lc3uhqxrfdd5h6ebsypakhrce